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Find g(x), where g(x) is the translation 4 units left of f(x)=3x–10.
Write your answer in the form mx+b, where m and b are integers.

Answer :

The function f(x) after translation by 4 units left is g(x) = y = 3x + 2.

What is an expression? What is a expression? What is a mathematical equation?

  • A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
  • A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
  • A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is the function as -

f(x) = 3x - 10.

We have the function -

y = 3x - 10

We can write the function f(x) after translation by 4 units left as -

y = 3(x + 4) - 10

y = 3x + 12 - 10

y = 3x + 2

Therefore, the function g(x) can be written as y = 3x + 2

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